A "factor" is an integer that can be divided into another number. For instance, 3 is a factor of 6. All you needed to do was list all the factor pairs of 48, and see which ones add up to 19:
1 x 48
2 x 24
3 x 16
You can stop here, because 3+16=19. Therefore, your two numbers are 3 and 16.
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